475108320 has 96 divisors (see below), whose sum is σ = 1505806848. Its totient is φ = 125915648.

The previous prime is 475108307. The next prime is 475108331. The reversal of 475108320 is 23801574.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×475108320³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77197 + ... + 83123.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2^475108320 is an apocalyptic number.

475108320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752903424).

475108320 is an abundant number, since it is smaller than the sum of its proper divisors (1030698528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475108320 is a wasteful number, since it uses less digits than its factorization.

475108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 475108320 is about 21796.9796072759. The cubic root of 475108320 is about 780.3046804455.

Adding to 475108320 its reverse (23801574), we get a palindrome (498909894).

The spelling of 475108320 in words is "four hundred seventy-five million, one hundred eight thousand, three hundred twenty".